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Finding the Third Proportional to 119,723.06 and 179,603.58

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Solution

The third proportional to 119,723.06 and 179,603.58 is: 269,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,723.06 : 179,603.58 = 179,603.58 : x
  2. Step 2: Convert to fraction form
    119,723.06/179,603.58 = 179,603.58/x
  3. Step 3: Cross multiply
    119,723.06x = 179,603.58 × 179,603.58
  4. Step 4: Simplify right side
    119,723.06x = 32,257,445,275.30
  5. Step 5: Solve for x
    x = 32,257,445,275.30/119,723.06
  6. Step 6: Final answer
    x = 269,433.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.